Trace extensions, determinant bundles, and gauge group cocycles

DOI10.1023/A:1021631405781zbMath1015.81056arXivhep-th/0205126OpenAlexW1483699919MaRDI QIDQ1868416

Joakim Arnlind, Jouko Mickelsson

Publication date: 27 April 2003

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0205126

zbMATH Keywords

multiplicative anomalydeterminant bundlescompact odd-dimensional manifoldsgauge group cocyclesvacuum line bundles

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Anomalies in quantum field theory (81T50) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Pseudodifferential and Fourier integral operators on manifolds (58J40) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (3)

Extensions of lattice groups, gerbes and chiral fermions on a torus ⋮ From tracial anomalies to anomalies in quantum field theory ⋮ Anomalies in gauge theory and gerbes over quotient stacks

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